Steady States of a Microwave-Irradiated Quantum-Hall Gas

2005/01/09 by Assa Auerbach, Ilya Finkler, Bertrand I. Halperin +1 · 3 citations
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.94.196801

4 pages, 2 colour figures

arxiv created 2005/01/09 · openalex publication_date 2005/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider effects of a long-wavelength disorder potential on the zero conductance state (ZCS) of the microwave-irradiated 2D electron gas. Assuming a uniform Hall conductivity, we construct a Lyapunov functional and derive stability conditions on the domain structure of the photogenerated fields. We solve the resulting equations for a general one-dimensional and certain two-dimensional disorder potentials, and find nonzero conductances, photovoltages, and circulating dissipative currents. In contrast, weak white-noise disorder does not destroy the ZCS, but induces mesoscopic current fluctuations.

Citations

• Observation of Microwave-Induced Zero-Conductance State in Corbino Rings of a Two-Dimensional Electron System
• Pattern formation outside of equilibrium

Cited by

• Microwave photoresistance in a two-dimensional electron gas with separated Landau levels
• Phase of phonon-induced resistance oscillations in a high-mobility two-dimensional electron gas
• Microwave photoconductivity of a modulated two-dimensional electron gas due to intra-Landau-level transitions